Q. 1 F5.0( 1 Vote )

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Answer :

Given. PQRS is a trapezium.

PQ = 6 cm, PS = 5 cm , QPS = 60° and PQR = 100°


Formula used. Area of trapezium = × height × sum of parallel sides


Area of trapezium = × height × (PQ + SR)


Steps of Construction


Step 1 : Draw a line PQ of 6cm


Step 2 : Make an angle of 100° from point Q and extend ray to QR’



Step 3 : Make an angle of 60° from point P and extend ray to PS’



Step 4 : Mark an arc of 5cm from P on ray PS’ and name intersection point as S



Step 5 : Draw a ray SR” parallel to PQ from point S



Step 6 : Mark the intersection point of SR” and QR’ as R



Step 7 : Draw a perpendicular on PQ from point S and name the intersection point as A



Area of trapezium = × height × (PQ + SR)


= × SA × (PQ + SR)


= × 4.3cm × (6cm + 4.3cm)


= 22.145cm2


Conclusion. Hence; Trapezium PQRS is constructed and its area is


22.145cm2


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